1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
scoray [572]
3 years ago
6

What are the zeros of the polynomial function f(x) = x3 + 2x2 − 24x?

Mathematics
1 answer:
Alik [6]3 years ago
4 0

You may notice that all of the terms have a common factor: x. So, let's take the x out of all the terms. This gives us:

x(x^2 + 2x - 24) = 0


Using the Zero Product Property, we can say that both x = 0 and x^2 + 2x - 24 = 0.

Let's solve both. x = 0 is obvious, but we still need to solve our other term:

x^2 + 2x - 24 = 0

  • Set up

(x + 6)(x - 4) = 0

  • Factor

x = -6, 4

  • Apply the Zero Product Property

Our answer is x = -6, 0, 4.


You might be interested in
I’ll mark brainliest if correct !!!!
Artemon [7]

Answer:

the probability is 1

Step-by-step explanation:

8 0
3 years ago
Kierra recorded her daily exercise activity for a month in this frequency table. Which problem shows how to solve for the follow
sineoko [7]

Answer:

i accidentaly put awnser and i dont know how to get out of here

Step-by-step explanation:

6 0
3 years ago
Which similarity statement describes the polygons?
iren2701 [21]

Answer:

△ABC∼△EDF

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Find all real zeros of 4x^3-20x+16
Pani-rosa [81]

Answer:

  {1, (-1±√17)/2}

Step-by-step explanation:

There are formulas for the real and/or complex roots of a cubic, but they are so complicated that they are rarely used. Instead, various other strategies are employed. My favorite is the simplest--let a graphing calculator show you the zeros.

___

Descartes observed that the sign changes in the coefficients can tell you the number of real roots. This expression has two sign changes (+-+), so has 0 or 2 positive real roots. If the odd-degree terms have their signs changed, there is only one sign change (-++), so one negative real root.

It can also be informative to add the coefficients in both cases--as is, and with the odd-degree term signs changed. Here, the sum is zero in the first case, so we know immediately that x=1 is a zero of the expression. That is sufficient to help us reduce the problem to finding the zeros of the remaining quadratic factor.

__

Using synthetic division (or polynomial long division) to factor out x-1 (after removing the common factor of 4), we find the remaining quadratic factor to be x²+x-4.

The zeros of this quadratic factor can be found using the quadratic formula:

  a=1, b=1, c=-4

  x = (-b±√(b²-4ac))/(2a) = (-1±√1+16)/2

  x = (-1 ±√17)2

The zeros are 1 and (-1±√17)/2.

_____

The graph shows the zeros of the expression. It also shows the quadratic after dividing out the factor (x-1). The vertex of that quadratic can be used to find the remaining solutions exactly: -0.5 ± √4.25.

__

The given expression factors as ...

  4(x -1)(x² +x -4)

5 0
3 years ago
Read 2 more answers
Ellen is playing a video game in which she captures butterflies. There are 6 butterflies onscreen, but the number of butterflies
Anna11 [10]

Answer:

(2 x 4) - 8

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • Describe the main parts of a proof
    6·1 answer
  • Give an example of an irrational number that is less than -5.
    13·1 answer
  • Gragh h(t) = 400 − 39t − 157e−t/4
    8·1 answer
  • Can someone help me plz I would really appreciate it
    8·1 answer
  • What is twenty-six thousandths in decimal form
    9·2 answers
  • The sixth-graders at Ruben's school got to choose between a field trip to a museum and a field trip to a factory. 30 sixth-grade
    6·1 answer
  • Which the number below has the least value?​
    11·1 answer
  • Plz answer fast and answer right I really need this
    11·1 answer
  • (order doesn't matter)
    11·1 answer
  • Pls help, I don't know how to solve this. No files, No links pls, thanks!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!